Respuesta :

(x^2/7)^(3/4) =
x^(2/7 * 3/4) =
x^(6/28) reduces to x^(3/14)

Answer:

[tex](x^{\frac{3}{14}})[/tex]

Step-by-step explanation:

we know that

[tex](x^{\frac{r}{s}})^{\frac{p}{q}} = (x^{\frac{r*p}{s*q}})[/tex]

In this problem we have

[tex](x^{\frac{2}{7}})^{\frac{3}{4}}[/tex]

so

[tex](x^{\frac{2}{7}})^{\frac{3}{4}}=(x^{\frac{2*3}{7*4}})=(x^{\frac{6}{28}})[/tex]

Simplify

[tex](x^{\frac{6}{28}})=(x^{\frac{3}{14}})[/tex]